科研之友
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摘要
In this paper, we prove that an origin-symmetric star body is uniquely determined by its p-centroid body. Furthermore, using spherical harmonics, we establish a result for non-symmetric star bodies. As an application, we show that there is a unique member of Gamma(p)< K > characterized by having larger volume than any other member, for all real p >= 1 that are not even natural numbers, where Gamma(p)< K > denotes the p-centroid equivalence class of the star body K.
- 出版日期2013-11
- 单位上海大学
